Premium
Modification of the lie‐algebraic scheme and approximation error estimations
Author(s) -
Bihun Oksana,
Prytula Mykola
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410248
Subject(s) - scheme (mathematics) , algebraic number , mathematics , lie algebra , boundary (topology) , algebra over a field , boundary value problem , partial differential equation , lie theory , differential (mechanical device) , algebraic analysis , partial derivative , pure mathematics , differential equation , lie conformal algebra , mathematical analysis , adjoint representation of a lie algebra , differential algebraic equation , physics , ordinary differential equation , thermodynamics
A new modification of the the Lie‐algebraic scheme for solving partial differential equations with initial and boundary conditions based on constructing quasirepresentations of the Heisenberg‐Weyl algebra operators involving boundary conditions is proposed. Approximation errors for the modified scheme are evaluated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)